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The cost of manufacturing x items is given by C(x) = 0.02x^2 + 20x + 1800. Find the marginal cost function. Compuare the marginal cost at x = 20 to the actual cost of producing the 20th item.
 11 months ago
 11 months ago
The cost of manufacturing x items is given by C(x) = 0.02x^2 + 20x + 1800. Find the marginal cost function. Compuare the marginal cost at x = 20 to the actual cost of producing the 20th item.
 11 months ago
 11 months ago

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onegirlBest ResponseYou've already chosen the best response.0
This is what i did but my teacher says it wrong. C(x) = 0.02x^2 + 20x + 1800 C’(x) = 0.04x + 20 C’(20) = 0.04(20) + 20 = 20.8 so this will be the marginal cost at x = 20 Acutal cost of the 20th item : c(20)  c(19) = 0.02(20^2) + 20(20) + 1800 – 0.02(19)^2 + 20(19) + 1800 = 4380.78
 11 months ago

onegirlBest ResponseYou've already chosen the best response.0
@agent0smith can u help?
 11 months ago

julian25Best ResponseYou've already chosen the best response.2
c(20)c(19) = 2208  2187,22 = 20.78 it is just one algebraic mistake
 11 months ago

onegirlBest ResponseYou've already chosen the best response.0
okay thanks so thats the marginal cost?
 11 months ago

julian25Best ResponseYou've already chosen the best response.2
no! u already got the amrginal cost "C’(20) = 0.04(20) + 20 = 20.8 so this will be the marginal cost at x = 20 "
 11 months ago

onegirlBest ResponseYou've already chosen the best response.0
ohh okay so what do i do next?
 11 months ago

julian25Best ResponseYou've already chosen the best response.2
u wrote this "Acutal cost of the 20th item : c(20)  c(19) = 0.02(20^2) + 20(20) + 1800 – 0.02(19)^2 + 20(19) + 1800 = 4380.78 " i m telling u that part is wrong with algebraic mistakes
 11 months ago

onegirlBest ResponseYou've already chosen the best response.0
so you're saying in that its where i made my sitake?
 11 months ago

julian25Best ResponseYou've already chosen the best response.2
i made that calculations and i got c(20)c(19) = 2208  2187,22 = 20.78
 11 months ago

onegirlBest ResponseYou've already chosen the best response.0
so how about the actual cost?
 11 months ago

onegirlBest ResponseYou've already chosen the best response.0
@Loser66 so how would i find the actual cost? should i just substitute 20 into the first problem?
 11 months ago

Loser66Best ResponseYou've already chosen the best response.0
sorry friend, I totally lost you in this question. I don't get why you subtract C(20 ) C(19)
 11 months ago

onegirlBest ResponseYou've already chosen the best response.0
to get the marginal cost? i'm so confused :/
 11 months ago

Loser66Best ResponseYou've already chosen the best response.0
I know why don't get you, hihi, it's economic problem. hand off, friend. never known before
 11 months ago

julian25Best ResponseYou've already chosen the best response.2
hi again so what part u dont understand i think the problem is done
 11 months ago

onegirlBest ResponseYou've already chosen the best response.0
i'm trying to figure it out what is the actual cost is? since we already found marginal cost
 11 months ago

julian25Best ResponseYou've already chosen the best response.2
u have the marginal cost C’(x) = 0.04x + 20 C’(20) = 0.04(20) + 20 = 20.8 and the actual cost of producing the 20th item. c(20)c(19) = 2208  2187,22 = 20.78 the problem says that u must compare them and u can can see they r very close
 11 months ago

onegirlBest ResponseYou've already chosen the best response.0
how how do i do that?
 11 months ago

julian25Best ResponseYou've already chosen the best response.2
how to do what? compare them? 20.8 is very close to 20.78 u dont need to do anymore
 11 months ago
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